Write an equation of the line that passes through (5,1) and is parallel to the line y=−2x+4

Mathematics

2 answers:

yulyashka [42]3 years ago

8 0

Answer:

y = -2x + 11

Step-by-step explanation:

Yanka [14]3 years ago

8 0

Y=-2x+11 is the solution

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Hi! Will someone please tell me if I am right. If I am not, please explain why. Thanks!

Aleks [24]

You are correct! Good job!

5 0

3 years ago

Find the variance of this probability distribution. Round to two decimal places.

attashe74 [19]

Answer:

Variance = 4.68

Step-by-step explanation:

The formula for the variance is:

$\sigma^{2} =\frac{\Sigma(X- \mu)^{2}}{N} \\or \\ \sigma^{2} =\frac{\Sigma(X)^{2}}{N} -\mu^{2} \\$

Where:

$X: Values \\\mu: Mean \\N: Number\ of\ values$

The mean can be calculated as each value multiplied by its probability

$\mu = 0*0.4 + 1*0.3 + 2*0.1+3*0.15+ 4*0.05=1.15$

$\frac{\Sigma (X)^{2}}{N} =\frac{(0^{2}+1^{2}+2^{2}+3^{2}+4^{2})}{5} =6$

Replacing the mean and the summatory of X:

$\sigma^{2} = \frac{\Sigma(X)^{2}}{N} -\mu^{2} \\= 6 - 1.15^{2}\\= 4.6775$

4 0

4 years ago

What’s the domain and range for f(t)=90-52ln(1+t)

Agata [3.3K]

Answer:

Domain: (-1, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

DOMAIN:

In logarithmic functions, inside the parenthesis of the logarithm has to be >0. This is because you cannot make a positive number negative with exponents

Our equation

... $52ln(1+x)\\1+x>0\\x>-1$

Range:

The range of logarithmic equations is (-∞, ∞).

This is because, as $(1+x)$ approaches 0, the natural log of numbers smaller than $e$ become more and more negative. The limit of the function as $(1+x)$ is infinity